GCD of 924, 432, 820, 966 Calculator

Given Input numbers are 924, 432, 820, 966

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 924, 432, 820, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 432, 820, 966 is 2.

Therefore, GCD of numbers 924, 432, 820, 966 is 2

Given Input Data is 924, 432, 820, 966

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 966 is 2 x 3 x 7 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(924, 432) = 33264

GCD(924, 432) = ( 924 x 432 ) / 33264

GCD(924, 432) = 399168 / 33264

GCD(924, 432) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 820

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(12, 820) = 2460

GCD(12, 820) = ( 12 x 820 ) / 2460

GCD(12, 820) = 9840 / 2460

GCD(12, 820) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 966

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 966) = 1932

GCD(4, 966) = ( 4 x 966 ) / 1932

GCD(4, 966) = 3864 / 1932

GCD(4, 966) = 2

GCD of 924, 432, 820, 966 is 2

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1. What is the GCD of 924, 432, 820, 966?

GCD of 924, 432, 820, 966 is 2

2. Where do I get the detailed procedure to find GCD of 924, 432, 820, 966?

You can find a detailed procedure to find GCD of 924, 432, 820, 966 on our page.

3. How to find GCD of 924, 432, 820, 966 on a calculator?

You can find the GCD of 924, 432, 820, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.